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Discrete vortex quantum droplets

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  • Zhao, Zi-bin
  • Chen, Gui-hua
  • Liu, Bin
  • Li, Yong-yao

Abstract

We analyze the existence and characteristics of discrete vortex quantum droplets with intrinsic topological charges S of up to 5 in two-component Bose-Einstein condensates in a deep two-dimensional (2D) optical lattice. The 2D discrete Gross-Pitaevskii equation with a Lee-Huang-Yang (LHY) correction term is used to model the condensate, which incorporates local contact interactions and LHY corrections induced by quantum fluctuations. The characteristics of vortical modes with S = 1 and S = 2 are studied in detail. The chemical potential μ and peak density ρmax of the modes are calculated as functions of the norm N. The μ−N curves of on-site-centered and off-site-centered modes with the same number of lattice sites are nearly identical. We make an analysis and reach a conclusion consistent with these simulation results. This system contains a nontrivial type of vortex mode known as the mixed-vortex mode, in which the two components have the same density pattern and different topological charges. To the best of our knowledge, we are the first to report vortex modes with isomorphic density patterns and heteromorphic vortices in the field of quantum droplets.

Suggested Citation

  • Zhao, Zi-bin & Chen, Gui-hua & Liu, Bin & Li, Yong-yao, 2022. "Discrete vortex quantum droplets," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    • Handle: RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922006919
    DOI: 10.1016/j.chaos.2022.112481
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    References listed on IDEAS

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    1. Holger Kadau & Matthias Schmitt & Matthias Wenzel & Clarissa Wink & Thomas Maier & Igor Ferrier-Barbut & Tilman Pfau, 2016. "Observing the Rosensweig instability of a quantum ferrofluid," Nature, Nature, vol. 530(7589), pages 194-197, February.
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    3. Huang, Hao & Wang, Hongcheng & Chen, Manna & Lim, Chin Seong & Wong, Kok-Cheong, 2022. "Binary-vortex quantum droplets," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
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    5. Zhao, Fei-yan & Yan, Zi-teng & Cai, Xiao-yan & Li, Chao-long & Chen, Gui-lian & He, He-xiang & Liu, Bin & Li, Yong-yao, 2021. "Discrete quantum droplets in one-dimensional optical lattices," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    6. Zhou, Zheng & Shi, Yimin & Tang, Shiqing & Deng, Haiming & Wang, Haibin & He, Xiongying & Zhong, Honghua, 2021. "Controllable dissipative quantum droplets in one-dimensional optical lattices," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
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    4. Al-Marzoug, S.M. & Baizakov, B.B. & Bahlouli, H., 2023. "Two-dimensional symbiotic solitons and quantum droplets in a quasi-one-dimensional optical lattice," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).

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